{
    "problem": "If $x = 2$ and $y = 5$, then what is the value of $\\frac{x^4+2y^2}{6}$ ?",
    "level": "Level 1",
    "type": "Algebra",
    "solution": "We have  \\[\\frac{x^4 + 2y^2}{6} = \\frac{2^4 + 2(5^2)}{6} = \\frac{16+2(25)}{6} = \\frac{16+50}{6} = \\frac{66}{6} = \\boxed{11}.\\]"
}